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Finding the Fourth Proportional to 317,409.41, 476,186.80 and 137,524.77

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Solution

The fourth proportional to 317,409.41, 476,186.80 and 137,524.77 is: 206,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,409.41 : 476,186.80 = 137,524.77 : x
  2. Step 2: Convert to fraction form
    317,409.41/476,186.80 = 137,524.77/x
  3. Step 3: Cross multiply
    317,409.41x = 476,186.80 × 137,524.77
  4. Step 4: Simplify right side
    317,409.41x = 65,487,481,588.92
  5. Step 5: Solve for x
    x = 65,487,481,588.92/317,409.41
  6. Step 6: Final answer
    x = 206,318.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.